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(* ocamlgsl - OCaml interface to GSL *)
(* Copyright () 2002 - Olivier Andrieu *)
(* distributed under the terms of the GPL version 2 *)
type double_mat_flat =
{ data : float array ;
off : int ;
dim1 : int ;
dim2 : int ;
tda : int ; }
type matrix = double_mat_flat
let create ?(init=0.) dim1 dim2 =
{ data = Array.create (dim1 * dim2) init ;
off = 0 ; dim1 = dim1 ; dim2 = dim2 ;
tda = dim2 }
let dims mat =
(mat.dim1, mat.dim2)
let of_arrays arr =
let dim1 = Array.length arr in
if dim1 = 0 then invalid_arg "of_arrays" ;
let dim2 = Array.length arr.(0) in
let tab = Array.make (dim1 * dim2) 0. in
Array.iteri
(fun i a ->
if Array.length a <> dim2
then invalid_arg "of_arrays" ;
Array.blit a 0 tab (i * dim2) dim2)
arr ;
{ data = tab ; off = 0 ; dim1 = dim1 ; dim2 = dim2 ; tda = dim2 }
let to_array mat =
if mat.tda = mat.dim2 && mat.off = 0
then Array.copy mat.data
else begin
let arr = Array.make (mat.dim1 * mat.dim2) 0. in
for i=0 to pred mat.dim1 do
Array.blit mat.data (mat.off + i * mat.tda) arr (i*mat.dim2) mat.dim2
done ;
arr
end
let to_arrays mat =
let arr = Array.make_matrix mat.dim1 mat.dim2 0. in
for i=0 to pred mat.dim1 do
Array.blit mat.data (mat.off + i * mat.tda) arr.(i) 0 mat.dim2
done ;
arr
let of_array arr dim1 dim2 =
let len = Array.length arr in
if dim1 * dim2 <> len
then invalid_arg "of_array" ;
{ data = Array.copy arr; off = 0 ;
dim1 = dim1 ; dim2 = dim2; tda = dim2 }
let get m i j =
m.data.(m.off + i*m.tda + j)
let set m i j x =
m.data.(m.off + i*m.tda + j) <- x
let set_all m x =
for i=0 to pred m.dim1 do
Array.fill m.data (m.off + i*m.tda) m.dim2 x
done
let set_zero m =
set_all m 0.
let set_id m =
set_zero m ;
for i=0 to pred (min m.dim1 m.dim2) do
set m i i 1.
done
let memcpy ~src:m ~dst:m' =
if m.dim1 <> m'.dim1 || m.dim2 <> m'.dim2
then invalid_arg "wrong dimensions" ;
for i=0 to pred m.dim1 do
Array.blit
m.data (m.off + i*m.tda)
m'.data (m'.off + i*m'.tda) m.dim2
done
let copy m =
let m' = create m.dim1 m.dim2 in
memcpy m m' ;
m'
let submatrix m ~k1 ~k2 ~n1 ~n2 =
{ m with
off = m.off + (k1*m.tda)+k2 ;
dim1 = n1 ; dim2 = n2 ;
tda = m.tda ; }
let row m i =
{ Gsl_vector_flat.data = m.data ;
Gsl_vector_flat.off = m.off + i * m.tda ;
Gsl_vector_flat.len = m.dim2 ;
Gsl_vector_flat.stride = 1 ; }
let column m j =
{ Gsl_vector_flat.data = m.data ;
Gsl_vector_flat.off = m.off + j ;
Gsl_vector_flat.len = m.dim1 ;
Gsl_vector_flat.stride = m.tda ; }
let diagonal m =
{ Gsl_vector_flat.data = m.data ;
Gsl_vector_flat.off = m.off ;
Gsl_vector_flat.len = min m.dim1 m.dim2 ;
Gsl_vector_flat.stride = m.tda + 1 ; }
let subdiagonal m k =
{ Gsl_vector_flat.data = m.data ;
Gsl_vector_flat.off = m.off + k * m.tda;
Gsl_vector_flat.len = min (m.dim1 - k) m.dim2 ;
Gsl_vector_flat.stride = m.tda + 1 ; }
let superdiagonal m k =
{ Gsl_vector_flat.data = m.data ;
Gsl_vector_flat.off = m.off + k;
Gsl_vector_flat.len = min m.dim1 (m.dim2 - k) ;
Gsl_vector_flat.stride = m.tda + 1 ; }
let view_array arr ?(off=0) dim1 ?tda dim2 =
let tda = match tda with
| None -> dim2
| Some v -> v in
let len = Array.length arr in
if dim1 * tda > len - off || dim2 > tda
then invalid_arg "view_array" ;
{ data = arr; off = off; dim1 = dim1; dim2 = dim2; tda = tda }
let view_vector v ?(off=0) dim1 ?tda dim2 =
let tda = match tda with
| None -> dim2
| Some v -> v in
let len = Gsl_vector_flat.length v in
if dim1 * tda > len - off || dim2 > tda
then invalid_arg "view_vector" ;
{ data = v.Gsl_vector_flat.data;
off = v.Gsl_vector_flat.off + off;
dim1 = dim1; dim2 = dim2; tda = tda }
external add : matrix -> matrix -> unit = "ml_gsl_matrix_add"
external sub : matrix -> matrix -> unit = "ml_gsl_matrix_sub"
external mul_elements : matrix -> matrix -> unit = "ml_gsl_matrix_mul"
external div_elements : matrix -> matrix -> unit = "ml_gsl_matrix_div"
external scale : matrix -> float -> unit = "ml_gsl_matrix_scale"
external add_constant : matrix -> float -> unit = "ml_gsl_matrix_add_constant"
external add_diagonal : matrix -> float -> unit = "ml_gsl_matrix_add_diagonal"
external is_null : matrix -> bool = "ml_gsl_matrix_isnull"
external swap_rows : matrix -> int -> int -> unit = "ml_gsl_matrix_swap_rows"
external swap_columns : matrix -> int -> int -> unit = "ml_gsl_matrix_swap_columns"
external swap_rowcol : matrix -> int -> int -> unit = "ml_gsl_matrix_swap_rowcol"
external transpose : matrix -> matrix -> unit = "ml_gsl_matrix_transpose_memcpy"
external transpose_in_place : matrix -> unit = "ml_gsl_matrix_transpose"
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